Pith Number

pith:YFUALONI

pith:2013:YFUALONI5LVKOWKTNUITAT326R

not attested not anchored not stored refs pending

Uniqueness and long time asymptotic for the Keller-Segel equation: The parabolic-elliptic case

Fernandez Giani Egana, St\'ephane Mischler (CEREMADE)

arxiv:1310.7771 v2 · 2013-10-29 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFUALONI5LVKOWKTNUITAT326R}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:45:04.638219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c16805b9a8eaeaa759536d11304f7af44f9001566902f2b9f354a1fb2aec2c36

Aliases

arxiv: 1310.7771 · arxiv_version: 1310.7771v2 · doi: 10.48550/arxiv.1310.7771 · pith_short_12: YFUALONI5LVK · pith_short_16: YFUALONI5LVKOWKT · pith_short_8: YFUALONI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YFUALONI5LVKOWKTNUITAT326R \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c16805b9a8eaeaa759536d11304f7af44f9001566902f2b9f354a1fb2aec2c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d9a9d1635c6fed180ffb4a3cdc492dafd0f66b7dc4785a0d85812a84ba18cd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-29T12:01:37Z",
    "title_canon_sha256": "563f914ac0ff542a6785bd4193ddf394a18de63973c9747e59df1f73bd70dde6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7771",
    "kind": "arxiv",
    "version": 2
  }
}